Details

Time bar (total: 12.2s)

sample55.0ms

Algorithm
intervals
Results
25.0ms365×body80valid

simplify242.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01115
12415
25415
39215
413715
515015
615915
717615
819715
920615
done20615

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.7b

localize10.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ y (* z 3.0))
0.2b
(* (* z 3.0) y)
7.2b
(/ t (* (* z 3.0) y))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
8×pow1 add-sqr-sqrt add-cube-cbrt *-un-lft-identity
7×prod-exp cbrt-unprod
6×times-frac associate-/l*
5×cbrt-undiv div-exp
3×associate-*r* pow-prod-down add-log-exp
2×frac-2neg clear-num associate-/r* div-inv
1×associate-*l* *-commutative
Counts
3 → 62
Calls
3 calls:
8.0ms
(/ y (* z 3.0))
23.0ms
(* (* z 3.0) y)
24.0ms
(/ t (* (* z 3.0) y))

series88.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ y (* z 3.0))
28.0ms
(* (* z 3.0) y)
36.0ms
(/ t (* (* z 3.0) y))

simplify1.7s

Counts
71 → 71
Iterations

Useful iterations: 2 (182.0ms)

IterNodesCost
0102623
1253609
21147493
done5001493

prune201.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t)
0.6b
(cbrt t)
0.6b
(cbrt t)
2.6b
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
45×add-exp-log
32×add-cbrt-cube
29×add-sqr-sqrt
22×associate-*r*
21×add-cube-cbrt *-un-lft-identity times-frac
19×cbrt-prod
18×prod-exp cbrt-unprod
13×cbrt-undiv div-exp
6×pow1
5×associate-*l*
4×add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 95
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
67.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

series931.0ms

Counts
4 → 12
Calls
4 calls:
270.0ms
(cbrt t)
234.0ms
(cbrt t)
332.0ms
(cbrt t)
95.0ms
(* (/ (* (cbrt t) (cbrt t)) (* z 3.0)) (/ (cbrt t) y))

simplify1.3s

Counts
107 → 107
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01561479
14581407
22469991
done5001857

prune341.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ t (* z 3.0))
0.2b
(/ y (* z 3.0))
4.4b
(* (/ t (* z 3.0)) (/ 1 y))

rewrite60.0ms

Algorithm
rewrite-expression-head
Rules
52×add-exp-log
34×add-cbrt-cube
23×add-sqr-sqrt
20×times-frac
18×div-exp prod-exp
17×*-un-lft-identity
16×add-cube-cbrt
13×associate-*r*
11×cbrt-undiv
10×cbrt-unprod
7×associate-*l*
6×associate-/l*
5×pow1
4×div-inv
3×rec-exp 1-exp add-log-exp unswap-sqr
2×frac-2neg clear-num associate-/r*
1×frac-times associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative
Counts
3 → 96
Calls
3 calls:
8.0ms
(/ t (* z 3.0))
13.0ms
(/ y (* z 3.0))
35.0ms
(* (/ t (* z 3.0)) (/ 1 y))

series95.0ms

Counts
3 → 9
Calls
3 calls:
29.0ms
(/ t (* z 3.0))
20.0ms
(/ y (* z 3.0))
45.0ms
(* (/ t (* z 3.0)) (/ 1 y))

simplify2.2s

Counts
105 → 105
Iterations

Useful iterations: 2 (335.0ms)

IterNodesCost
01591117
1407974
21374774
done5000774

prune301.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.2b
(/ t (* z 3.0))
0.2b
(/ (/ y z) 3.0)
4.4b
(* (/ t (* z 3.0)) (/ 1 y))

rewrite80.0ms

Algorithm
rewrite-expression-head
Rules
92×times-frac
63×add-sqr-sqrt
57×*-un-lft-identity
56×add-cube-cbrt
52×add-exp-log
34×add-cbrt-cube
19×div-exp
17×prod-exp
16×associate-/l*
13×associate-*r*
12×cbrt-undiv
9×cbrt-unprod
8×div-inv
7×associate-*l*
5×pow1
4×associate-/r*
3×rec-exp 1-exp add-log-exp unswap-sqr
2×frac-2neg clear-num
1×frac-times associate-*r/ pow-prod-down associate-*l/ un-div-inv *-commutative associate-/l/
Counts
3 → 145
Calls
3 calls:
8.0ms
(/ t (* z 3.0))
11.0ms
(/ (/ y z) 3.0)
55.0ms
(* (/ t (* z 3.0)) (/ 1 y))

series79.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ t (* z 3.0))
20.0ms
(/ (/ y z) 3.0)
36.0ms
(* (/ t (* z 3.0)) (/ 1 y))

simplify2.3s

Counts
154 → 154
Iterations

Useful iterations: 2 (789.0ms)

IterNodesCost
02681794
16471605
218711403
done50001403

prune489.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes262.0ms

Accuracy

84.3% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.0b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02961
13861
done3861

end0.0ms

sample1.3s

Algorithm
intervals
Results
710.0ms11166×body80valid